823066660328 has 96 divisors (see below), whose sum is σ = 1781790696000. Its totient is φ = 353438449920.

The previous prime is 823066660319. The next prime is 823066660349.

823066660328 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11368628 + ... + 11440796.

It is an arithmetic number, because the mean of its divisors is an integer number (18560319750).

Almost surely, 2^823066660328 is an apocalyptic number.

823066660328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823066660328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890895348000).

823066660328 is an abundant number, since it is smaller than the sum of its proper divisors (958724035672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823066660328 is a wasteful number, since it uses less digits than its factorization.

823066660328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72583 (or 72560 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 823066660328 in words is "eight hundred twenty-three billion, sixty-six million, six hundred sixty thousand, three hundred twenty-eight".